Extensions 1→N→G→Q→1 with N=C₂²×D₅ and Q=A₄

Direct product G=N×Q with N=C₂²×D₅ and Q=A₄

		d	ρ	Label	ID
C₂²×D₅×A₄		60		C2^2xD5xA4	480,1202

Semidirect products G=N:Q with N=C₂²×D₅ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊A₄ = (C₂²×D₅)⋊A₄	φ: A₄/C₁ → A₄ ⊆ Out C₂²×D₅	40	6	(C2^2xD5):A4	480,268
(C₂²×D₅)⋊₂A₄ = D₅×C₂²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₂²×D₅	60		(C2^2xD5):2A4	480,1203

Non-split extensions G=N.Q with N=C₂²×D₅ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).₁A₄ = C₂₀⋊₄D₄⋊C₃	φ: A₄/C₁ → A₄ ⊆ Out C₂²×D₅	60	6+	(C2^2xD5).1A4	480,262
(C₂²×D₅).₂A₄ = (C₄×C₂₀)⋊C₆	φ: A₄/C₁ → A₄ ⊆ Out C₂²×D₅	80	6	(C2^2xD5).2A4	480,263
(C₂²×D₅).₃A₄ = D₅×C₄²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Out C₂²×D₅	60	6	(C2^2xD5).3A4	480,264
(C₂²×D₅).₄A₄ = C₂×D₅×SL₂(𝔽₃)	φ: trivial image	80		(C2^2xD5).4A4	480,1039

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